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Finding the Fourth Proportional to 38,534.84, 57,814.06 and 34,560.98

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Solution

The fourth proportional to 38,534.84, 57,814.06 and 34,560.98 is: 51,852.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,534.84 : 57,814.06 = 34,560.98 : x
  2. Step 2: Convert to fraction form
    38,534.84/57,814.06 = 34,560.98/x
  3. Step 3: Cross multiply
    38,534.84x = 57,814.06 × 34,560.98
  4. Step 4: Simplify right side
    38,534.84x = 1,998,110,571.38
  5. Step 5: Solve for x
    x = 1,998,110,571.38/38,534.84
  6. Step 6: Final answer
    x = 51,852.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.